AnswersMASTER COURSE GeometryFigures in the Coordinate Plane

Figures in the Coordinate Plane — Quiz Answers

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Triangle ABC is an isosceles triangle in which AB is equal to AC What is the perimeter of triangle ABC ?

A
5 plus square root of 10 units
B
10 plus square root of 10 units
C
3 square root of 10 units
D
15 units
22
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Triangle ABC is an isosceles triangle in which AB is equal to AC What is the perimeter of triangle ABC ?

A
10 plus square root of 10 units
B
3 square root of 10 units
C
5 plus square root of 10 units
D
15 units
23

What additional information would prove that DEFG is an isosceles trapezoid?

A
line segment DE is congruent to line segment DG
B
line segment EF is congruent to line segment DG
C
line segment EF is congruent to line segment GF
D
line segment DE is congruent to line segment GF
24

In the diagram, AB is equal to 10 and AC is equal to 2 square root of 10 What is the perimeter of triangle ABC ?

A
20 plus 2 square root of 10 units
B
20 units
C
10 plus 2 square root of 10 units
D
10 units
25

HIJK is a parallelogram because the midpoint of both diagonals is __________, which means the diagonals bisect each other.

A
open paren 1 comma 1 close paren
B
open paren 0 comma 1 close paren
C
open paren 1 comma 0 close paren
D
open paren 1 comma negative 1 close paren
26

Triangle ABC is an isosceles triangle in which AB is equal to AC What is the perimeter of triangle ABC ?

A
5 plus square root of 10 units
B
3 square root of 10 units
C
10 plus square root of 10 units
D
15 units
27

The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?

A
Use the distance formula to find the length of the sides, and then multiply two of the side lengths.
B
Use the slope formula to find the slope of each of side, and then determine if the consecutive sides are perpendicular.
C
Use the slope formula to find the slope of each of side, and then determine if the opposite sides are parallel.
D
Use the distance formula to find the length of each side, and then add the lengths.
28

What additional information would prove that LMNP is a rectangle?

A
line segment LM is parallel to line segment PN
B
The length of line segment LM is square root of 45 and the length of line segment MN is square root of 5 .
C
line segment LP perpendicular to line segment PN
D
The slope of line segment LP and line segment MN is negative 2 .
29

The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?

A
Use the distance formula to find the length of the sides, and then multiply two of the side lengths.
B
Use the slope formula to find the slope of each of side, and then determine if the opposite sides are parallel.
C
Use the distance formula to find the length of each side, and then add the lengths.
D
Use the slope formula to find the slope of each of side, and then determine if the consecutive sides are perpendicular.
30

What additional information would prove that DEFG is an isosceles trapezoid?

A
line segment EF is congruent to line segment DG
B
line segment DE is congruent to line segment DG
C
line segment DE is congruent to line segment GF
D
line segment EF is congruent to line segment GF
31

In the diagram, AB is equal to 10 and AC is equal to 2 square root of 10 What is the perimeter of triangle ABC ?

A
10 plus 2 square root of 10 units
B
10 units
C
20 units
D
20 plus 2 square root of 10 units
32

What additional information would prove that LMNP is a rectangle?

A
line segment LP perpendicular to line segment PN
B
The slope of line segment LP and line segment MN is negative 2 .
C
line segment LM is parallel to line segment PN
D
The length of line segment LM is square root of 45 and the length of line segment MN is square root of 5 .
33

Which statement proves that quadrilateral JKLM is a kite?

A
angle cap m is a right angle and line segment MK bisects angle LMJ .
B
line segment MK intersects line segment LJ at its midpoint.
C
LM is equal to JM is equal to 3 and JK is equal to LK is equal to square root of 17 .
D
The slope of line segment MK is negative 1 and the slope of line segment LJ is 1 .
34

Which statement proves that quadrilateral JKLM is a kite?

A
LM is equal to JM is equal to 3 and JK is equal to LK is equal to square root of 17 .
B
line segment MK intersects line segment LJ at its midpoint.
C
angle cap m is a right angle and line segment MK bisects angle LMJ .
D
The slope of line segment MK is negative 1 and the slope of line segment LJ is 1 .
35

Which statement proves that the diagonals of square PQRS are perpendicular bisectors of each other?

A
The midpoint of both diagonals is open paren 4 and 1 half comma 5 and 1 half close paren , the slope of line segment RP is 7 , and the slope of line segment SQ is negative 1 seventh .
B
The slope of line segment SP and line segment RQ is negative 4 thirds and the slope of line segment SR and line segment PQ is 3 fourths .
C
The length of line segment SQ and line segment RP are both square root of 50 .
D
The length of line segment SP , line segment PQ , line segment RQ , and line segment SR are each 5 .
36

Which statement proves that parallelogram KLMN is a rhombus?

A
The slopes of line segment LM and line segment KN are both 1 half and NK is equal to ML is equal to square root of 20 .
B
The length of line segment KM is square root of 72 and the length of line segment NL is square root of 8 .
C
The midpoint of both diagonals is open paren 4 comma 4 close paren .
D
The slope of line segment KM is 1 and the slope of line segment NL is negative 1 .
37

The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?

A
Use the distance formula to find the length of each side, and then add the lengths.
B
Use the slope formula to find the slope of each of side, and then determine if the consecutive sides are perpendicular.
C
Use the slope formula to find the slope of each of side, and then determine if the opposite sides are parallel.
D
Use the distance formula to find the length of the sides, and then multiply two of the side lengths.
38

In the diagram, AB is equal to 10 and AC is equal to 2 square root of 10 What is the perimeter of triangle ABC ?

A
10 plus 2 square root of 10 units
B
10 units
C
20 plus 2 square root of 10 units
D
20 units
39

Which statement proves that the diagonals of square PQRS are perpendicular bisectors of each other?

A
The length of line segment SQ and line segment RP are both square root of 50 .
B
The midpoint of both diagonals is open paren 4 and 1 half comma 5 and 1 half close paren , the slope of line segment RP is 7 , and the slope of line segment SQ is negative 1 seventh .
C
The length of line segment SP , line segment PQ , line segment RQ , and line segment SR are each 5 .
D
The slope of line segment SP and line segment RQ is negative 4 thirds and the slope of line segment SR and line segment PQ is 3 fourths .
40

What is the perimeter of triangle LMN ?

A
9 units
B
8 plus square root of 10 units
C
8 units
D
6 plus square root of 10 units

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